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1110023120232 = 2333131667237137
BaseRepresentation
bin10000001001110010100…
…010001010010101101000
310221010011102100000212000
4100021302202022111220
5121141311404321412
62205534303451000
7143124256562265
oct20116242122550
93833142300760
101110023120232
11398838127634
1215b1685b6a60
13808a04cc150
143ba2272826c
151dd1a8c94dc
hex1027288a568

1110023120232 has 128 divisors (see below), whose sum is σ = 3322587945600. Its totient is φ = 341339249664.

The previous prime is 1110023120207. The next prime is 1110023120263. The reversal of 1110023120232 is 2320213200111.

It is a super-5 number, since 5×11100231202325 (a number of 61 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4562368 + ... + 4799504.

It is an arithmetic number, because the mean of its divisors is an integer number (25957718325).

Almost surely, 21110023120232 is an apocalyptic number.

1110023120232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110023120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661293972800).

1110023120232 is an abundant number, since it is smaller than the sum of its proper divisors (2212564825368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1110023120232 is a wasteful number, since it uses less digits than its factorization.

1110023120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238832 (or 238822 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1110023120232 its reverse (2320213200111), we get a palindrome (3430236320343).

The spelling of 1110023120232 in words is "one trillion, one hundred ten billion, twenty-three million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 1667 2808 3334 5001 6668 10002 13336 15003 20004 21671 30006 40008 43342 45009 60012 65013 86684 90018 120024 130026 173368 180036 195039 237137 260052 360072 390078 474274 520104 585117 711411 780156 948548 1170234 1422822 1560312 1897096 2134233 2340468 2845644 3082781 4268466 4680936 5691288 6165562 6402699 8536932 9248343 12331124 12805398 17073864 18496686 24662248 25610796 27745029 36993372 51221592 55490058 73986744 83235087 110980116 166470174 221960232 332940348 395307379 665880696 790614758 1185922137 1581229516 2371844274 3162459032 3557766411 4743688548 5138995927 7115532822 9487377096 10277991854 10673299233 14231065644 15416987781 20555983708 21346598466 28462131288 30833975562 41111967416 42693196932 46250963343 61667951124 85386393864 92501926686 123335902248 138752890029 185003853372 277505780058 370007706744 555011560116 1110023120232